The protest by white nationalists, neo-Nazis and the Ku Klux Klan over the removal of a Robert E. Lee statue quickly turned violent as a man drove his car into the crowd, killing one woman.

Sixty-seven percent of the respondents said there should be an investigation into whether the car incident was an act of domestic terrorism.

“President Trump’s reluctance to label the fatal crash in Charlottesville as domestic terrorism is out of step with not only two-thirds of Americans, overall, but with people regardless of their race or political party,” Lee M. Miringoff, director of the Marist College Institute for Public Opinion, said in a polling memo. “The president’s sentiments clearly do not line up with the American people.”

When it comes to race, 77 percent of African-Americans, 55 percent of Latinos, and 46 percent of white respondents said Trump’s response was inadequate.

“By nearly two to one, Americans think that President Trump dropped the ball in his handling of this crisis,” Miringoff said. “Not surprisingly, African Americans and Latinos do not feel the president has their back, but, of note, many white Americans are not in the president’s corner either.”

The poll surveyed 1,125 adults by landline or mobile telephone on Monday and Tuesday. It had a margin of error of plus or minus 2.9 percentage points.

Trump has vacillated in his response to the Charlottesville violence since the weekend. After originally calling out violence on “many sides” Saturday, he made additional remarks Monday condemning the white nationalist groups specifically.

“Racism is evil,” the president told reporters at the White House. “And those who cause violence in its name are criminals and thugs, including the KKK, neo-Nazis, white supremacists and other hate groups that are repugnant to everything we hold dear as Americans.”

But on Tuesday, Trump again blamed “both sides,” saying he had refrained from naming the white supremacist groups until he had all the “facts.” He also said there were “very fine people on both sides.”